If the graph of \( f(x)=2 x^{3}+a x^{2}+b x(a, b \in N) \) cuts the \( x \)-axis at three distin...

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If the graph of \( f(x)=2 x^{3}+a x^{2}+b x(a, b \in N) \) cuts the \( x \)-axis at three distinct points, then minimum value of \( (a+b) \) is
(A) 2
(B) 3
(C) 4
(D) 5
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